IndisputableMonolith.Chemistry.Electronegativity
The Electronegativity module defines a proxy for electronegativity from distance to next shell closure, scaled inversely by shell number. Bond theorists and periodic-trend modelers cite these definitions when building ionic and covalent predictions from the eight-tick octave. The module contains only definitions and element rankings derived from the imported PeriodicTable, AtomicRadii, and ElectronAffinity modules.
claimElectronegativity proxy: $EN \sim \frac{1}{d_{\rm to\ next\ closure}+1} \cdot \frac{1}{n_{\rm shell}}$, where elements nearer closure in smaller shells receive higher values.
background
The module operates inside the Recognition Science chemistry scaffold. PeriodicTable supplies the eight-tick octave mapping to chemical shells together with s/p/d/f block offsets and a neutrality predicate for noble-gas closures. AtomicRadii and ElectronAffinity establish the phi-ladder trends: radii decrease across periods and electron affinities peak one electron before closure. Constants provides the base time quantum $\tau_0 = 1$ tick.
The module doc-comment states the central construction: "Electronegativity proxy based on distance to closure. EN ~ 1 / (distToNextClosure + 1) * (1 / shellNumber) Elements close to closure in small shells have high EN." Sibling definitions include enProxy, enRanking, and concrete comparisons such as fluorine_gt_li.
proof idea
This is a definition module, no proofs. It introduces the proxy function and ranking predicates directly from the imported PeriodicTable and related modules.
why it matters in Recognition Science
The module supplies the electronegativity component required by IonicBond (CH-010), which derives ionic bonding from the 8-tick closure drive acting on both cation and anion. It fills the CH-008 position in the chemistry chain, providing the EN term needed for bond-formation predictions without empirical fitting.
scope and limits
- Does not validate the proxy against measured Pauling electronegativities.
- Does not extend the proxy to molecular or effective electronegativity.
- Does not incorporate relativistic or spin-orbit corrections.
- Does not predict numerical thresholds separating ionic from covalent bonds.
used by (1)
depends on (4)
declarations in this module (18)
-
def
enProxy -
def
enRanking -
theorem
fluorine_gt_li -
theorem
fluorine_gt_be -
theorem
fluorine_gt_b -
theorem
fluorine_gt_c -
theorem
fluorine_gt_n -
theorem
fluorine_gt_o -
theorem
chlorine_gt_sodium -
theorem
en_increases_across_period -
theorem
group_17_en_order -
theorem
alkali_min_valence -
theorem
cesium_low_en -
theorem
carbon_intermediate -
theorem
nitrogen_ranking -
theorem
oxygen_ranking -
theorem
fluorine_ranking -
theorem
noble_gas_zero_en